Summary: Our main aim is to present the value of the distributional derivative
where in , , and are positive integers. For this purpose, we first define a regularization of in , which in turn helps us to define the regularization of in . These regularizations are achieved as asymptotic limits of the truncated functions and as , plus certain terms concentrated at the origin, where H is the Heaviside function. In the process of the derivation of the distributional derivative formula mentioned, we also derive many other interesting results and introduce some simplifying notation.